Finding the Third Proportional to 188,424 and 414,036

Step by Step Solution

1. Step 1: Write the proportion equation
   188,424 : 414,036 = 414,036 : x
2. Step 2: Convert to fraction form
   188,424/414,036 = 414,036/x
3. Step 3: Cross multiply
   188,424x = 414,036 × 414,036
4. Step 4: Simplify right side
   188,424x = 171,425,809,296
5. Step 5: Solve for x
   x = 171,425,809,296/188,424
6. Step 6: Final answer
   x = 909,787.55